The Equivalence of Dissipation from Gibbs’ Entropy Production with Phase-Volume Loss in Ergodic Heat-Conducting Oscillators

DOI10.1142/S0218127416500899zbMath1343.82024arXiv1511.03201MaRDI QIDQ3187933

Puneet Kumar Patra, Carol Griswold Hoover, Julien Clinton Sprott, William G. Hoover

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03201

zbMATH Keywords

algorithmsdissipationergodicityentropy production

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

Disambiguation of the Boltzmann–Gibbs–Shannon entropy in systems with continuous states ⋮ A New Chaotic Attractor Around a Pre-Located Ring ⋮ Harmonic Oscillators with Nonlinear Damping ⋮ A Tribute to J. C. Sprott ⋮ Categories of Conservative Flows ⋮ Changing dynamics of the first, second and third approximations of the exponential chaotic system and their application in secure communication using synchronization ⋮ Unnamed Item ⋮ Thermodynamic vs statistical entropy production in thermostatted Hamiltonian dynamics

Cites Work

• Ergodic time-reversible chaos for Gibbs' canonical oscillator
• Canonical ensembles from chaos. II: Constrained dynamical systems
• Deterministic thermostats, theories of nonequilibrium systems and parallels with the ergodic condition

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